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116269664 = 25717191607
BaseRepresentation
bin1101110111000…
…10001001100000
322002210002222212
412323202021200
5214231112124
615312021252
72611163420
oct673421140
9262702885
10116269664
115a6a4135
1232b31828
131b11c024
1411628480
15a31a40e
hex6ee2260

116269664 has 96 divisors (see below), whose sum is σ = 291755520. Its totient is φ = 44402688.

The previous prime is 116269663. The next prime is 116269687. The reversal of 116269664 is 466962611.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116269661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71549 + ... + 73155.

It is an arithmetic number, because the mean of its divisors is an integer number (3039120).

Almost surely, 2116269664 is an apocalyptic number.

116269664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116269664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145877760).

116269664 is an abundant number, since it is smaller than the sum of its proper divisors (175485856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116269664 is a wasteful number, since it uses less digits than its factorization.

116269664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 116269664 is about 10782.8411840294. The cubic root of 116269664 is about 488.0775206062.

The spelling of 116269664 in words is "one hundred sixteen million, two hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 304 323 476 532 544 608 646 952 1064 1292 1607 1904 2128 2261 2584 3214 3808 4256 4522 5168 6428 9044 10336 11249 12856 18088 22498 25712 27319 30533 36176 44996 51424 54638 61066 72352 89992 109276 122132 179984 191233 213731 218552 244264 359968 382466 427462 437104 488528 519061 764932 854924 874208 977056 1038122 1529864 1709848 2076244 3059728 3419696 3633427 4152488 6119456 6839392 7266854 8304976 14533708 16609952 29067416 58134832 116269664